Math, asked by aparna4257, 11 months ago

how many kgs of rice costing rs 12 a kg be mixed with 22kgs of rice costing rs 18 a kg to get a mixture costing rs 16.40 a kg?​

Answers

Answered by venupillai
1

Answer:

The required quantity is 8 kg

Step-by-step explanation:

Part 1

Let "x" be the quantity of rice in kg, costing Rs.12 per kg

Value of this rice = 12x

22 kg of rice costing Rs.18 will have value 22*18 = Rs.396

The total value of the mixture = 12x + 396 ........(i)

Part 2

The mixture will weigh (22 + x) kg and will cost Rs.16.40 per kg

=> The value of the mixture = 16.4*(22 + x)

                                               = 360.8 + 16.4x ......(ii)

Thus, we have got the value of the mixture in two ways. Clearly, (i) = (ii)

=> 12x + 396 = 306.8 + 16.4x

=> 16.4x - 12x = 396 - 306.8

=> 4.4x = 35.2

=> x = 35.2/4.4

=> x = 8

The required quantity of rice is 8 kg

Verification:

8 kg of rice, costing Rs.12 per kg, will have value Rs.96

22 kg of rice, costing Rs.18 per kg, will have value Rs.396

The total value of this 30 kg of rice = Rs.492 ......(a)

The mixture will weigh 30 kg and costs Rs.16.4 per kg

Total value of 30 kg of rice = Rs.492 ......(b)

Verified as (a) = (b) √

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